Search a number
-
+
342511000144 = 2421406937509
BaseRepresentation
bin1001111101111110011…
…11110001101001010000
31012202002011212120212221
410332333033301221100
521102430304001034
6421203011230424
733513512315305
oct4767717615120
91182064776787
10342511000144
11122292591975
125646a2a8414
13263b6192471
1412812dc50ac
158d99845bb4
hex4fbf3f1a50

342511000144 has 10 divisors (see below), whose sum is σ = 663615062810. Its totient is φ = 171255500064.

The previous prime is 342511000129. The next prime is 342511000159. The reversal of 342511000144 is 441000115243.

It is an interprime number because it is at equal distance from previous prime (342511000129) and next prime (342511000159).

It can be written as a sum of positive squares in only one way, i.e., 249388374544 + 93122625600 = 499388^2 + 305160^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10703468739 + ... + 10703468770.

It is an arithmetic number, because the mean of its divisors is an integer number (66361506281).

Almost surely, 2342511000144 is an apocalyptic number.

It is an amenable number.

342511000144 is a deficient number, since it is larger than the sum of its proper divisors (321104062666).

342511000144 is a wasteful number, since it uses less digits than its factorization.

342511000144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21406937517 (or 21406937511 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 342511000144 its reverse (441000115243), we get a palindrome (783511115387).

The spelling of 342511000144 in words is "three hundred forty-two billion, five hundred eleven million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 21406937509 42813875018 85627750036 171255500072 342511000144